Polarizing beam splitting system

ABSTRACT

A polarizing beam splitting system is described. The polarizing beam splitting system may include first and second prisms where the volume of the first prism is no greater than half the volume of the second prism. The first prism includes first and second surfaces and a light source may be disposed adjacent the first surface and an image forming device may be disposed adjacent the second surface. The first prism has a first hypotenuse and the second prism has a second hypotenuse. A reflective polarizer is disposed between the first and second hypotenuses.

BACKGROUND

Projection systems may include a light source and apolarization-rotating image-forming device which operates by rotatingthe polarization of light provided by the light source to produce animage. A polarizing beam splitter may be included to separate lighthaving orthogonal polarization states.

SUMMARY

In some aspects of the present description, a polarizing beam splittingsystem including a reflective polarizer, first and second prisms, alight source and an image forming device is provided. The first prismhas a first volume and includes a first face; a second face adjacent thefirst face, an angle between the first and second faces substantiallyequal to 90 degrees; and a first hypotenuse opposite the angle. Thelight source is disposed adjacent the first face and the image formingdevice is disposed adjacent the second face. The second prism is a righttriangular prism having a second volume and having third and fourthfaces and a second hypotenuse. The second hypotenuse is disposedadjacent the first hypotenuse. The first the first and secondhypotenuses have substantially equal surface areas. The third face isopposite the first face and substantially parallel with the first face,and the fourth face is opposite the second face and substantiallyparallel with the second face. The reflective polarizer is disposedbetween the first and second hypotenuses, and the first volume is nogreater than half the second volume.

In some aspects of the present description, a polarizing beam splittingsystem adapted to receive light from a light source and centered on afolded optical axis defined by an optical path of a central light rayemitted by the light source is provided. The polarizing beam splittingsystem includes an input surface substantially perpendicular to theoptical axis, light entering the polarizing beam splitting system bypassing through the input surface; a reflective polarizer having alargest lateral dimension d5, the optical axis having a length d1between the input surface and the reflective polarizer; an outputsurface substantially perpendicular to the optical axis, the outputsurface having a length d3′ between the output surface and thereflective polarizer, light exiting the polarizing beam splitting systemby passing through the output surface; and an imager face substantiallyperpendicular to the optical axis, the optical axis having a length d4between the imager face and the reflective polarizer. One or both of d1and d4 are less than d5/4.

In some aspects of the present description, a polarizing beam splittingsystem adapted to receive light from a light source and centered on afolded optical axis defined by an optical path of a central light rayemitted by the light source is provided. The polarizing beam splittingsystem includes an input surface substantially perpendicular to theoptical axis, light entering the polarizing beam splitting system bypassing through the input surface; a reflective polarizer, the opticalaxis having a length d1 between the input surface and the reflectivepolarizer; a first reflective component substantially perpendicular tothe optical axis, the optical axis having a length d2 between the firstreflective component and the reflective polarizer, the first reflectivecomponent being a tilted dichroic plate; a second reflective componentsubstantially perpendicular to the optical axis, the optical axis havinga length d3 between the second reflective component and the reflectivepolarizer; and an output face substantially perpendicular to the opticalaxis, light exiting the polarizing beam splitting system by passingthrough the output surface, the optical axis having a length d4 betweenthe output surface and the reflective polarizer. One or both of d1 andd4 are less than a lesser of d2 and d3.

In some aspects of the present description, a polarizing beam splittingsystem adapted to receive light from a light source and centered on afolded optical axis defined by an optical path of a central light rayemitted by the light source is provided. The polarizing beam splittingsystem includes an input surface substantially perpendicular to theoptical axis, light entering the polarizing beam splitting system bypassing through the input surface; a reflective polarizer having alargest lateral dimension d5, the optical axis having a length d1between the input surface and the reflective polarizer; a firstreflective component substantially perpendicular to the optical axis,the optical axis having a length d2 between the first reflectivecomponent and the reflective polarizer, the first reflective componentbeing a tilted dichroic plate; a second reflective componentsubstantially perpendicular to the optical axis, the optical axis havinga length d3 between the second reflective component and the reflectivepolarizer; and an output face substantially perpendicular to the opticalaxis, light exiting the polarizing beam splitting system by passingthrough the output surface, the optical axis having a length d4 betweenthe output surface and the reflective polarizer. One or both of d1 andd4 are less than d5/4.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a side view of a polarizing beam splitter;

FIG. 2 is a side view of an illuminator;

FIG. 3 is a side view of an illuminator;

FIG. 4A is a side view of an illuminator;

FIG. 4B is a side view of a lens;

FIGS. 5A-5B are side views of an illuminator;

FIG. 5C is a top view of a reflective polarizer;

FIG. 6 is a schematic side view of an illuminator;

FIG. 7 is a schematic side view of an illuminator; and

FIG. 8 is a schematic illustration of a head mounted system.

DETAILED DESCRIPTION

In the following description, reference is made to the accompanyingdrawings that forms a part hereof and in which various embodiments areshown by way of illustration. The drawings are not necessarily to scale.It is to be understood that other embodiments are contemplated and maybe made without departing from the scope or spirit of the presentdisclosure. The following detailed description, therefore, is not to betaken in a limiting sense.

It is sometimes desired for a projection system to be compact. Forexample, hand-held pico-projectors and head mounted displays typicallyutilize compact projection systems. Such compact projectors may includea light source, a polarizing beam splitter, and a polarization-rotatingimage-forming device which operates by rotating the polarization oflight provided by the light source to produce an image. The polarizingbeam splitter often includes a reflective polarizer disposed between tworight triangular prisms. Both prisms typically have the same volume andthe polarizing beam splitter typically has opposing faces having thesame area. According to the present description, illuminators areprovided which can be more compact than traditional illuminators andwhich may be suitable for use in a projection system, for example. Theilluminators may include a polarizing beam splitter having first andsecond prisms having differing geometries. For example, the first prismmay have a volume substantially smaller than the second prism and/or mayhave faces having areas substantially smaller than corresponding areasof faces the second prism. Illuminators of the present description mayallow a lens and/or a light source to be placed closer to the reflectivepolarizer than in traditional systems thereby achieving a more compactdesign. In some embodiments, the compact design may be achieved byutilizing a folded light path illuminator which provides a convergingpatterned light from an image forming device to a lens.

FIG. 1 is a schematic side view of polarizing beam splitter 100including first prism 110, second prism 120, and reflective polarizer130. First prism 110 includes first face 112, second face 114, firsthypotenuse 116 and a portion 118 extending from the first and secondfaces 112 and 114. The first hypotenuse comprises a major surface of theportion 118. Second prism 120 includes third face 122, fourth face 124and second hypotenuse 126. The second hypotenuse 126 is disposedadjacent the first hypotenuse 116 and the reflective polarizer 130 isdisposed between the first hypotenuse 116 and the second hypotenuse 126.The polarizing beam splitter 100 may be part of a polarizing beamsplitting system that includes the polarizing beam splitter 100 and thatmay include one or more additional optical components, such as one ormore reflective components, for example. The polarizing beam splitter100 may be part of an illuminator that includes the polarizing beamsplitter 100 and that may include one or more additional opticalcomponents, such as a light source and/or an image forming device, forexample. When used in an illuminator, first face 112 may be an inputface disposed to receive light from a light source, second face 114 maybe an output face, and fourth face 124 may be an imager face disposedadjacent an image forming device. In other embodiments, when used in anilluminator, third face 122 may be an input face disposed to receivelight from a light source, second face 114 may be an output face, andfourth face 124 may be an imager face disposed adjacent an image formingdevice.

The second face 114 is adjacent the first face 112 with an angle αbetween the first and second faces 112 and 114. The angle α may bebetween 80 and 100 degrees, for example, or may be equal to orsubstantially equal to 90 degrees. The fourth face 124 is adjacent thethird face 122 with an angle β between the third and fourth faces 122and 124. The angle β may be between 80 and 100 degrees, for example, ormay be equal to or substantially equal to 90 degrees. In someembodiments, the third face 122 is opposite the first face 112 andsubstantially parallel with the first face 112. In some embodiments, thefourth face 124 is opposite the second face 114 and substantiallyparallel with the second face 114. In some embodiments, the second prism120 is substantially a right triangular prism. In some embodiments, thefirst the first and second hypotenuses 116 and 126 have substantiallyequal surface areas. Directions may be described as substantiallyperpendicular if an angle between the directions is within 10 degrees of90 degrees (i.e., between 80 and 100 degrees). Such angles may bedescribed as substantially equal to 90 degrees. Similarly, directionsmay be described as substantially parallel if an angle between thedirections is no more than 10 degrees. In some embodiments, directionsdescribed as substantially parallel have an angle between the directionsof no more than 5 degrees. In some embodiments, directions described assubstantially perpendicular have an angle between the directions ofbetween 85 and 95 degrees. Two faces may be described as substantiallyparallel or substantially perpendicular if directions normal to the twofaces are substantially parallel or substantially perpendicular,respectively. Surfaces having areas within 15 percent of each other maybe described as having substantially equal areas. In some embodiments,surfaces described as having substantially equal areas have areas thatdiffer by no more than 10 percent, or no more than 5 percent.

An angle γ between the reflective polarizer and the fourth face 124 maybe in a range of about 30 degrees, or about 40 degrees, to about 50degrees, or to about 60 degrees, for example. As described elsewhereherein, an illuminator that includes the polarizing beam splitter 100may have a folded optical axis having a segment substantially parallelwith fourth face 124 and may have another segment substantiallyperpendicular to fourth face 124. An angle between the optical axis andthe reflective polarizer may be equal to the angle γ or equal to 90degrees minus γ. In some embodiments, an angle between the reflectivepolarizer and the optical axis is between about 40 degrees and about 60degrees.

In some embodiments, the first prism 110 has a first volume, the secondprism 120 has a second volume, and the first volume is no greater thanabout half the second volume. In some embodiments, the first volume isless than 35 percent, or less than 40 percent, or less than 50 percent,or less than 60 percent of the second volume.

In some embodiments, the first face 112 has a largest area (the totalarea of first face 112) that is less than about half of a largest areaof the third face 122 (the total area of third face 122) and/or that isless than about half of a largest area of the fourth face 124 (the totalarea of fourth face 124). In some embodiments, the largest area of firstface 112 is less than 60 percent, or less than 50 percent, or less than40 percent, or less than 35 percent of the largest area of third face122. In some embodiments, the largest area of first face 112 is lessthan 60 percent, or less than 50 percent, or less than 40 percent, orless than 35 percent of the largest area of fourth face 124. In someembodiments, the second face 114 has a largest area (the total area ofsecond face 114) that is less than about half of a largest area of thethird face 122 (the total area of third face 122) and/or that is lessthan about half of a largest area of the fourth face 124 (the total areaof fourth face 124). In some embodiments, the largest area of secondface 114 is less than 60 percent, or less than 50 percent, or less than40 percent, or less than 35 percent of the largest area of third face122. In some embodiments, the largest area of second face 114 is lessthan 60 percent, or less than 50 percent, or less than 40 percent, orless than 35 percent of the largest area of fourth face 124. In someembodiments, each of the largest area of the first face 112 and thelargest area of the second face 114 is less than about half of a lesserof a largest area of the third face 122 and the largest area of thefourth face 124.

The prisms and the reflective polarizer in FIG. 1 are shown spaced apartfor clarity of illustration. However, it should be understood that thevarious components could be in direct contact or attached through anoptically clear adhesive, for example In some embodiments, thereflective polarizer 130 is bonded to one or both of the first andsecond prisms 110 and 120 through optically clear adhesive(s).

Reflective polarizer 130 may be any suitable type of reflectivepolarizer such as, for example, a polymeric multilayer reflectivepolarizer, a wire grid polarizer, a MacNeille reflective polarizer, or acholesteric reflective polarizer. Suitable polymeric multilayerreflective polarizers are described, for example, in U.S. Pat. No.5,882,774 (Jonza et al.), and U.S. Pat. No. 6,609,795 (Weber et al.) andinclude Advanced Polarizing Film (APF) available from 3M Company (St.Paul, Minn.).

The first and second prisms 110 and 120 may be made from any suitablematerials such as, for example, glass, ceramics or optical plastics(e.g., polycarbonate, acrylates such as polymethylmethacrylate (PMMA),cyclic olefins, or other polymers). The first and second prisms can bemade by any suitable process such as, for example, molding, machining,grinding and/or polishing. The material selected may have a lowbirefringence so that the polarization state is not significantlyaltered as light passes through the first or second prisms 110 and 120.In some embodiments, no more than about 5 percent, or 3 percent, or 2percent, or 1 percent of light having a polarization along a block axisof the reflective polarizer 130 is transmitted through the polarizingbeam splitter 100. In some embodiments, the combined reflectance of thereflective polarizer 130 bonded to first and second prisms 110 and 120is less than 5 percent, or less than 3 percent, or less than 2 percent,or less than 1 percent for light polarized along a pass axis for thereflective polarizer 130.

FIG. 2 is a schematic side view of illuminator 202 including polarizingbeam splitting system 204, which includes polarizing beam splitter 200and first and second reflective components 232 and 234. Illuminator 202further includes a lens 240 and a light source 250. Polarizing beamsplitter 200, which may correspond to polarizing beam splitter 100,includes first and second prisms 210 and 220, and reflective polarizer230. First prism 210 includes input face 212, output face 214 and firsthypotenuse 216. Input face 212 has an input active area 213 and outputface 214 has an output active area 215. Lens 240 has largest acceptancearea 243. Second prism 220 has an imager face 224 and a secondhypotenuse 226. A reflective polarizer 230 is disposed between first andsecond hypotenuses 216 and 226. The light source 250 produces a lightbeam having an envelope 252 and a central light ray 256 which defines afolded optical axis 257 having first, second, third and fourth segments,257 a-257 d. The first reflective component 232 is disposed adjacent thepolarizing beam splitter 200 opposite light source 250 and the secondreflective component 234 is disposed adjacent the polarizing beamsplitter 200 opposite lens 240.

The second reflective component 234 has a largest active area 236. Thesecond reflective component 234 may be an image forming device and thelargest active area 236 may be a largest image area of the image formingdevice. Light is emitted (by being reflected, for example) from secondreflective component 234 in envelope 254. One or both of the first andsecond reflective components 232 and 234 may have a specular reflectanceof greater than 70 percent, or greater than 80 percent, or greater than90 percent. The first and/or second reflective components 232 and 234may be flat or may be curved in one or more axes.

In some embodiments, second reflective component 234 is adapted tomodulate light incident thereon. For example, second reflectivecomponent 234 may be an image forming device that reflects light havinga spatially modulated polarization state. Second reflective component234 may be pixelated and may produce a patterned light. Light reflectedfrom second reflective component 234 in envelope 254 may be convergingpatterned light. Suitable image forming devices that can be utilized assecond reflective component 234 include Liquid Crystal on Silicon (LCoS)devices. The LCoS device may be flat or may be curved in one or moreaxes.

The various components in FIG. 2 are shown spaced apart for clarity ofillustration. However, it should be understood that the variouscomponents could be in direct contact or attached through an opticallyclear adhesive, for example. In some embodiments, reflective polarizer230 is attached to one or both of first and second prisms 210 and 220using optically clear adhesive layers. In some embodiments, lens 240 isattached to output face 214 with an optically clear adhesive. In someembodiments, light source 250 may be immediately adjacent input face 212or may be attached to input face 212 through an optically clear adhesivelayer. In some embodiments, first and/or second reflective components232 and 234 may be attached to second prism 220 with optically clearadhesives.

Folded optical axis 257 includes first segment 257 a extending in afirst direction (positive x-direction) from the light source 250 to thefirst reflective component 232, second segment 257 b extending in asecond direction (negative x-direction) opposite the first direction,third segment 257 c extending in a third direction (negativey-direction), and fourth segment 257 d extending in a fourth direction(positive y-direction) opposite the third direction. First and secondsegments 257 a and 257 b are overlapping though they are shown with asmall separation in FIG. 2 for ease of illustration Similarly, third andfourth segments 257 c and 257 d are overlapping though they are shownwith a small separation in FIG. 2 for ease of illustration. The firstand second directions are substantially orthogonal to the third andfourth directions. The first reflective component 232 is substantiallyperpendicular to the first segment 257 a and the second reflectivecomponent 234 is substantially perpendicular to the third segment 257 c.

Light source 250 produces a light beam having envelope 252 and thisdefines the input active area 213 as the area of input face 212 that isillumined with light from the light source 250 that is used by theilluminator 202. Light source 250 may either substantially not producelight outside of the envelope 252 or any light that is produced outsidethis envelope is at an angle that it escapes from the illuminatorwithout entering lens 240.

At least a portion of the light from light source 250 is, in sequence,transmitted through the first prism 210, transmitted through thereflective polarizer 230, transmitted through the second prism 220,reflected from the first reflective component 232, transmitted backthrough the second prism 220, reflected from the reflective polarizer230, transmitted through the second prism 220 and is incident on secondreflective component 234, reflected from second reflective component234, transmitted through second prism 220 and reflective polarizer 230and first prism 210, and finally exits the illuminator through lens 240.This is illustrated in FIG. 2 for central light ray 256. In someembodiments, first reflective component 232 includes a polarizationrotator, which may be a quarter wave retarder. Light from the lightsource 250 that has a polarization along the pass axis of reflectivepolarizer 230 will be transmitter through the reflective polarizer 230and then reflect from first reflective component 232 back towards thereflective polarizer 230. In embodiments in which first reflectivecomponent 232 includes a quarter wave retarder, such light passes twicethrough the quarter wave retarder when it reflects back toward thereflective polarizer 230. This light then has a polarizationsubstantially orthogonal to the pass axis of the reflective polarizer230 and so reflects from the reflective polarizer 230 toward secondreflective component 234 which may emit (e.g., reflect) spatiallymodulated light back toward reflective polarizer 230. The spatiallymodulated light may have a polarization that is spatially modulated. Theportion of the spatially modulated light having a polarization along thepass axis of reflective polarizer 230 will pass through the reflectivepolarizer 230 as an imaged light, exit first prism 210 through outputactive area 215 and exit the illuminator through the lens 240.

The illuminator 202 allows an image to be projected by directing a lightbeam (in envelope 252) through a folded light path illuminator 202 ontoan imaging forming device (second reflective component 234), andreflecting a converging patterned light (in envelope 254) from the imageforming device. The step of directing a light beam through the foldedlight path illuminator 202 includes directing light to the firstreflective component 232 through the polarizing beam splitter 200,reflecting at least some of the light back towards the polarizing beamsplitter 200, and reflecting at least some of the light from thepolarizing beam splitter 200 towards the image forming device. At leasta portion of the converging patterned light is transmitted through thepolarizing beam splitter 200 and through lens 240.

Light from light source 250 illuminates a maximum area of secondreflective component 234 after the light is reflected from the firstreflective component 232 and the reflective polarizer 230. This maximumarea may be equal to the largest active area 236. Alternatively, thelargest active area 236 may be a largest area of second reflectivecomponent 234 that is reflective. For example, second reflectivecomponent 234 may be an image forming device that has a largest imagearea. Any light incident on the image forming device outside the largestimage area may not be reflected towards lens 240. In this case, thelargest active area 236 would be the largest image area of the imageforming device. The largest active area 236 defines the output activearea 215 on output face 214 and largest acceptance area 243 of lens 240since light is reflected from the largest active area 236 towards lens240 in envelope 254 which illuminates the output face 214 substantiallyonly in the output active area 215 and illuminates the lens 240substantially only in the largest acceptance area 243. Illuminator 202is configured such that light in envelope 254 that is reflected from thesecond reflective component 234 and that passes through the lens 240 isconvergent between the second reflective component 234 and the lens 240.This results in a largest active area 236 that is smaller than theoutput active area 215 which is smaller than the largest active area236.

In some embodiments, the input active area 213 and/or the output activearea 215 are less than about 60 percent, or less than about 50 percent(i.e., less than about half), or less than about 40 percent, or lessthan about 35 percent of the largest active area 236, which may be alargest image area. In some embodiments, the largest surface area ofinput face 212 (the total area of input face 212) is less than abouthalf the largest image area. In some embodiments, the largest surfacearea of the output face 214 (the total area of output face 214) is lessthan about half the largest image area.

Light source 250, or any of the light sources of the presentdescription, may include one or more substantially monochromatic lightemitting elements. For example, light source 250 may include red, greenand blue light emitting diodes (LEDs). Other colors, such as cyan andyellow may also be included. Alternatively, or in addition, broadspectrum (e.g., white or substantially white) light sources may beutilized. In some embodiments, the light source 250 includes a blueemitter and a phosphor. In some embodiments, the light source 250includes an integrator that may be utilized to combine light fromdiscrete light sources (e.g., the integrator may combine light from red,green and blue LEDs). The light source 250 may include a polarizingelement such that light having substantially a single polarization stateis directed into first prism 210 towards reflective polarizer 230. Insome embodiments, light source 250 may be or may include one or more ofan LED, an organic light emitting diode (OLED), a laser, a laser diode,an incandescent lighting element, and an arc lamp Light source 250 mayalso include a lens, such as a condenser lens, in addition to lightingemitting element(s) such as LED(s).

In some embodiments, the first or second prisms may have one or morecurved faces to provide a desired optical power. FIG. 3 is a side viewof illuminator 302 including polarizing beam splitting system 304, whichincludes polarizing beam splitter 300 and first and second reflectivecomponents 332 and 334. Illuminator 302 further includes a lens 340,which may be an element of a projection lens 344, and a light source350. Polarizing beam splitter 300 includes first and second prisms 310and 320, and reflective polarizer 330. First prism 310 includes inputface 312 and output face 314. Second prism 320 has an imager face 324and a second face 322. A reflective polarizer 330 is disposed betweenfirst and second hypotenuses of the first and second prisms 310 and 320.

Second prism 320 includes one or more components 360 and one or morecomponents 362 which may be attached to body 364 of second prism 320through one or more optically clear adhesives, for example. In someembodiments, components 360 and 362 may be separated (e.g., with an airgap) from body 364. In some embodiments, body 364 may be a righttriangular prism. In some embodiments, one or both of components 360 and362 may be formed integrally with body 364, by injection molding, forexample, or by any other suitable forming process. In some embodiments,input face 312 and/or output face 314 may similarly include one or morecomponents with a curved surface(s) attached to a body of the firstprism 310 or may include a curved surface formed integrally with firstprism 310.

In the illustrated embodiments, first reflective component 332 is areflective coating applied to second face 322 of second prism 320 and aquarter wave retarder 365 is disposed between body 364 and components362. In other embodiments, component 362 may be formed integrally withbody 364 and a quarter wave retarder may be applied to second face 322and a reflective coating may then be applied to the quarter waveretarder.

Light source 350 produces central light ray 356 and outer envelope lightrays 352 a and 352 b. Light ray 352 b (and similarly for light ray 352 aand central light ray 356) is emitted by light source 350 having apolarization along the pass axis of reflective polarizer 330. Light ray352 b, in sequence, passes through first prism 310, pass throughreflective polarizer 330, passes through body 364 of second prism 320,passes through quarter wave retarder 365, passes through components 362,is reflected by first reflective component 332, passes back throughcomponents 362, and then passes back through quarter wave retarder 365and back through body 364 towards reflective polarizer 330. Since thelight ray 352 b has made two passes through the quarter wave retarder,it has a polarization substantially orthogonal to the pass axis ofreflective polarizer 330. Light ray 352 b therefore reflects fromreflective polarizer 330, passes through body 364 and components 360 andis then reflected from second reflective component 334 back throughcomponents 360 and body 364 towards reflective polarizer 330. Secondreflective component 334 may be an image forming device that spatiallymodulates the polarization of light reflected from the second reflectivecomponent 334. In such cases, a portion of the light reflected from thesecond reflective component 334 may have a polarization along the passaxis of the reflective polarizer 330. This is the case for light ray 352b which passes through reflective polarizer 330 after reflecting fromsecond reflective component 334. Light ray 352 b then passes throughfirst prism 310 and exits through output face 314. Light ray 352 b thenpasses through projection lens 344 and then exits the illuminator 302.

In some cases, it may be useful to have the light source adjacent alarger prism rather than a smaller prism. An exemplary embodiment isillustrated in FIG. 4 which is a side view of illuminator 402 includinga first prism 410, a second prism 420, a reflective polarizer 430, alight source 450, a lens 440 which is an element of a projection lens444, and a lens 462 disposed between light source 450 and face 422 ofsecond prism 420. Second prism 420 also has face 424 and includescomponents 460 which may be formed integrally with a body of the secondprism 420 or may be attached to the body of the second prism 420 with anoptically clear adhesive, for example. The lens 462 has a first andsecond surface 466 and 468, respectively. Light source 450 maycorrespond to any of the light sources described elsewhere herein.

In some embodiments, as shown in FIG. 4B, the first surface 466 includesa quarter wave retarder 465 disposed on the first surface 466 and areflector 432 (e.g., a reflective coating) disposed on the quarter waveretarder 465. In some embodiments, a quarter wave retarder may bedisposed adjacent (possibly, but not necessarily immediately adjacent)first surface 466 and a reflector may be disposed adjacent (possibly,but not necessarily immediately adjacent) the quarter wave retarderopposite the first surface 466. The reflector includes an aperture 433over the emitting face of the light source 450 such that light emittedfrom the light source 450 passes into the lens 462. The aperture mayoptionally extend into the quarter wave retarder 465. A reflectivepolarizer 439 may be attached to the second surface 468. In alternateembodiments, the reflective polarizer 439 may be adjacent but notnecessarily immediately adjacent second surface 468.

The arrangement of reflector 432, quarter wave retarder 465 andreflective polarizer 439 provide a polarization converter for lightsource 450. Light incident on reflective polarizer 439 having apolarization along the pass direction for the reflective polarizer 439exits lens 462 into second prism 420. Light having the orthogonalpolarization is reflected from reflective polarizer 439, passes throughthe lens 462 and through quarter wave retarder 465, then reflects fromreflector 432 and passes back through quarter wave retarder 465 towardsreflective polarizer 439. Since the light has made two passes throughthe quarter wave retarder 465, it now it is polarized along the passaxis of reflective polarizer 439 and so it passes through the reflectivepolarizer 439 into second prism 420.

FIGS. 5A and 5B are a side views of illuminator 502 including first andsecond prisms 510 and 520, a reflective polarizer 530 disposed betweenhypotenuses of the first and second prisms 510 and 520, first and secondreflective components 532 and 534, a lens 540, which may be an elementof a projection lens, and a light source 550. First prism 510 includesinput surface 512 and output surface 514. Second prism 320 has a firstsurface 522 and a second surface 524. A central light ray emitted bylight source 550 defines a folded optical axis 557 in a similar way thatcentral light ray 256 defines folded optical axis 257. The foldedoptical axis 557 has a length d1 between the input surface 512 and thereflective polarizer 530, a length d2 between the first reflectivecomponent 532 and the reflective polarizer 530, a length d3 between thesecond reflective component 534 and the reflective polarizer 530, and alength d4 between the output surface 514 and the reflective polarizer530. In some embodiments, one or both of d1 and d4 are less than thelesser of d2 and d3, or less than 0.9 times the lesser of d2 and d3, orless than 0.85 times the lesser of d2 and d3. In some embodiments, thereflective polarizer 530 has a largest lateral dimension of d5(described further elsewhere herein) and one or both of d1 and d4 isless than d5/4, or less than 0.2 times d5 or less than 0.15 times d5.Polarizing beam splitter 500 includes first and second prisms 510 and520 and reflective polarizer 530.

In other embodiments, lens 540 is replaced by a spatial light modulatorand second reflective component 534 is replaced by a lens. In suchembodiments, light from light source 550 is reflected from reflectivepolarizer 530 towards the spatial light modulator (in the position oflens 540) whereupon it is reflected as imaged light through thereflective polarizer and through the lens (in positon of the reflectivecomponent 534). Also in such embodiments, the first reflective component532 may be omitted. In some embodiments, the geometry of the polarizingbeam splitter 530 is unchanged from that described in connection withFIGS. 5A-7 when the lens is replaced by a spatial light modulator andthe second reflective component is replaced by a lens.

In some embodiments, first reflector 532 is a tilted dichroic plate. Atilted dichroic plate is a reflector that includes at least one dichroicreflector tilted with respect to the optical axis 557 so that thedichroic reflector is neither perpendicular nor parallel to the opticalaxis 557. The tilted dichroic plate may include dichroic reflector(s)laminated together such that an outer surface of the tilted dichroicplate is perpendicular to the optical axis 557 but the dichroicreflector(s) are not. In some embodiments, the tilted dichroic reflectorincludes a plurality of dichroic reflectors tilted relative to oneanother. A tilted dichroic plate may be used to account for offsets ofcolored light sources from the optical axis 557. In some embodiments,the tilted dichroic plate includes a first dichroic reflector capable ofreflecting a first color light and transmitting other color light; and asecond reflector capable of reflecting a second color light. The firstdichroic reflector and the second reflector are each tilted such thatthe first and the second color light are both reflected back into prism520 along folded optical axis 557 as a combined color light beam. Insome embodiments, the tilted dichroic plate includes a first dichroicreflector capable of reflecting a first color light and transmitting asecond and a third color light; a second dichroic reflector capable ofreflecting the second color light and transmitting the third colorlight; and a third reflector capable of reflecting the third colorlight. The first dichroic reflector, the second dichroic reflector, andthe third reflector are each tilted such that the first, the second, andthe third color light are each reflected back into prism 520 alongfolded optical axis 557 as a combined color light beam. In someembodiments, the reflective polarizer 530 is replaced with a pluralityof dichroic reflective polarizers tilted relative to each other. Suchtilted dichroic plates and tilted dichroic reflective polarizers aredescribed in PCT Pub. No. WO 2013/062930 (Schardt et al.) and U.S. Pat.Appl. Pub. Nos. 2013/0169937 (Ouderkirk et al.), 2013/0169893 (Ouderkirket al.), 2013/0169894 (Ouderkirk et al.) and 2014/0253849 (Poon et al.),for example, which are hereby incorporated herein by reference to theextent that they do not contradict the present description.

Other lengths that may be useful in describing the geometry ofilluminator 502 are illustrated in FIG. 5B. The folded optical axis 557has a length d1′ between the light source 550 and the reflectivepolarizer 530, a length d2′ between second surface 524 and thereflective polarizer 530, a length d3′ between first surface 522 and thereflective polarizer 530, and a length d4′ between the lens 540 and thereflective polarizer 530. In some embodiments, one or both of d1′ andd4′ are less than the lesser of d2 and d3, or less than 0.9 times thelesser of d2 and d3, or less than 0.85 times the lesser of d2 and d3. Insome embodiments, one or both of d1′ and d4′ are less than a lesser ofd2′ and d3′, or less than 0.9 times the lesser of d2′ and d3′, or lessthan 0.85 times the lesser of d2′ and d3′. In some embodiments, thereflective polarizer 530 has a largest lateral dimension of d5 and oneor both of d1′ and d4′ is less than d5/4, or less than 0.2 times d5 orless than 0.15 times d5.

As illustrated in FIG. 5C, the reflective polarizer 530 may have alargest lateral dimension d5. In cases where the reflective polarizer isrectangular shaped with sides having dimensions L and W, the largestlateral dimension d5 of the reflective polarizer 530 is given byd5=(L²+W²)^(1/2). The largest lateral dimension d5 may be greater thanfour or five times d1 and/or may be greater than four or five times d4.The largest lateral dimension d5 may be greater than four or five timesd1′ and/or may be greater than four or five times d4′. In someembodiments, the second prism is a right triangular prism and L and Ware substantially equal. The lengths d2′ and d3′ may then beapproximately L (or W) divided by 2√2 and d5 may be approximately equalto four times d2′ or approximately equal to four times d3′.

Any of the relative relationships described between any of d1, d2, d3,d4, d5 may also hold if any one or more of d1, d2, d3, d4 are replacedwith d1′, d2′, d3′, d4′, respectively Similarly, any of the relativerelationships described between any of d1′, d2′, d3′, d4′, d5 may alsohold if any one or more of d1′, d2′, d3′, d4′ are replaced with d1, d2,d3, d4, respectively.

In some embodiments, the folded optics design allows a first prism tohave a substantially smaller volume than a second prism. In otherembodiments, the first and second prisms may have substantially the samevolume, and the folded optics design may be used with a lens having asmall acceptance area and/or with a light source having a small emittingarea. This is illustrated in FIG. 6 which is a side view of illuminator602 including first and second prism 610 and 620, reflective polarizer630 disposed between the first and second prism 610 and 620, first andsecond reflective components 632 and 634, and light source 650 having anemitting area 651. First prism 610 includes first and second surfaces612 and 614, and second prism 620 includes first and second surfaces 622and 624. Illuminator 602 further includes lens 640 which may optionallybe bonded to first prism 610 with an optically clear adhesive layer 641.First reflective component 632 may include a quarter wave retarder asdescribed elsewhere herein, and second reflective component 634 may bean image forming device as described elsewhere herein and may emit aconverging patterned light towards lens 640. Emitting area 651 of lightsource 650 and/or and acceptance area of lens 640 may be less than 60percent, or less than 50 percent, or less than 40 percent, or less than35 percent of a largest active area or of a largest image area of secondreflective component 634.

FIG. 7 is a side view of illuminator 702 including a light source 750, areflective polarizer 730 in optical communication with the light source750, and a lens 740 in optical communication with the reflectivepolarizer. The reflective polarizer 730 defines a smallest imaginaryrectangular parallelepiped 770 entirely containing the reflectivepolarizer 730 and having a surface (surfaces 772 and 774) perpendicularto a central light ray 756 emitted by the light source 750. At least aportion of the light source 750 or at least a portion of the lens 740 isdisposed inside the imaginary rectangular parallelepiped 770. In someembodiments, at least a portion of the light source 750 and at least aportion of the lens 740 are disposed inside the imaginary rectangularparallelepiped 770. In some embodiments, all or substantially all of thelight source 750 or all or substantially all of the lens 740 is disposedinside the imaginary rectangular parallelepiped 770. In someembodiments, all or substantially all of the light source 750 and all orsubstantially all of the lens 740 is disposed inside the imaginaryrectangular parallelepiped 770.

In some embodiments, lens 740 is an element of a projection lens. Insome embodiments, the illuminator 702 also includes an image formingdevice 734 substantially perpendicular to a surface (surfaces 772 and774) of the imaginary rectangular parallelepiped 770. In someembodiments, illuminator 702 includes first and/or second prisms,corresponding to the first and second prisms of any of the embodimentsdescribed herein, and/or includes a reflective component proximatesurface 772 as, for example, shown in any of FIGS. 2-5B.

The illuminators of the present description are useful, for example,when compact projection is desired. In some aspects of the presentdescription, a head mounted system, such as a head mounted display, isprovided. Head mounted systems are described, for example, in PCTpublication WO 2015/034801 (Ouderkirk) and in U.S. Prov. App. No.61/977171 (Ouderkirk et al.), each of which is incorporated herein byreference to the extent that they do not contradict the presentdescription.

FIG. 8 is a schematic illustration of head mounted system 801 includingunit 809 mounted to a frame 880 that includes first and second lenses882 and 884. Unit 809 is disposed to provide to and/or receive lightfrom first lens 882. In some embodiments, a second unit is mounted toframe 880 to provide to and/or receive light from first lens 882. Unit809 may be or may include any of the illuminators, polarizing beamsplitters, or polarizing beam splitting systems of the presentdescription.

The head mounted system 801 may include an eye monitoring system whichmay be include in unit 809. The system may monitor the diameter andposition of the pupil with an imaging sensor and processor via the firstlens 882 positioned in front of the eye. The first lens 882 may includepartially transparent reflector either adjacent to or embedded in it,where the reflector produces an image of the pupil on the sensor. Thesystem may quantify fatigue and cognitive processing load of the user ofthe system based on pupillary response with considerations of ambientlight conditions and may be personalized to the user based on historicaldata. The quantified information may be reported and visualized via asoftware application, such as a workforce management program orsmartphone application.

These attributes of the eye that the eye monitoring system can detectmay include one or more of the following: the viewing direction of theeye, diameter and changes in the diameter of the pupil, blinking of theeyelids, the eye tracking objects, and saccade movement. Eye trackingparameters may include velocity of the eye rotation and lag or phasebetween movement of an object and movement of the eye. Saccade movementmay include duration, velocity, and pattern of the movement.

In some embodiments, the head mounted system 801 includes a camera(e.g., a red-green-blue (RGB) camera or an infrared (IR) camera) thatmay be included in unit 809 and that can capture an image of the eye. AnIR camera can be used to determined ambient light conditions since theaverage IR luminance of the eye image is indicative of the ambient lightlevels. In some embodiments, the head mounted system 801 is adapted toimplement a computer vision algorithm running on an embedded systemwhich may be included in unit 809.

In some embodiments, the head mounted system includes an eye trackingsystem adapted to detect changes in pupil size and use that informationto quantify user fatigue and cognitive processing load. In someembodiments, the head mounted system 801 is adapted (e.g., using analgorithm running on an embedded processor) to implement one or more orall of the following steps:

Step 1: Capture a grayscale image of the eye.

Step 2: Filter out noise (e.g. using a Gaussian filter).

Step 3: Calculate gradient magnitude and direction for each pixel in theimage of the eye.

Step 4: Identify pixels with higher gradient magnitudes (these arelikely to be an edge of an object).

Step 5: Identify edges by, for example, connecting the pixels identifiedin the previous step according to the Helmholtz Principle of humanvisual perception.

Step 6: Compare edge line segments to the equation of an ellipse orother shape defined by a polynomial equation. The smallest ellipse-likeshape can be identified as the pupil. The area of the iris can also bedetermined and may be used to improve accuracy. Other elliptical shapesthat may be in the image, such as glint, can be eliminated.

Step 7: Calculate the pupil size (e.g., diameter or area) based on theline fitting done previously and the distance between the eye and thecamera.

Step 8: Determine and apply an adjustment factor to the calculated pupilsize to account for ambient light conditions. Ambient light conditionscan be determined using an additional sensor included in the headmounted system or via luminance analysis of the image captured.

Step 9: Save the adjusted pupil size in a database, which may be asecure database, for historical comparisons and analysis of cognitiveprocessing load and fatigue levels. Such a database could conceivablyhold other biological data (such as heart rate, skin conductivity,electroencephalographs (EEGs), etc.) which could be used in a sensorfusion algorithm to further analyze the user's mental state. The pupilsize may be recorded as a function of time and may be stored as atime-series (a sequence of data points made over time).

The method of fatigue and cognitive load analysis can utilize historicaldata to determine if the current levels exceed a threshold. Thisthreshold can vary from person to person and may be determined using amachine learning algorithm once enough historical data has been gatheredby the system and procedure described above. If the threshold of fatiguelevel or cognitive processing load is exceeded, a software applicationcan be utilized to alert the user or a central office manager, forexample. Furthermore, the historical data (e.g., time-series of pupildiameters) can be visualized (e.g., in a line graph of pupil size overtime) in a software application for a quick indication of currentcognitive states. The eye tracking system may also track the movement ofthe eye by storing the location of the pupil in the image captured bythe system over time. Including this location of the pupil in thetime-series could provide information into how quickly the eye ismoving, which provides another way that fatigue could be measured sinceslower moving eyes are more fatigued than quickly moving eyes.

The following is a list of exemplary embodiments.

Embodiment 1 is a polarizing beam splitting system comprising:

a reflective polarizer,

a first prism having a first volume and comprising:

-   -   a first face;    -   a second face adjacent the first face, an angle between the        first and second faces substantially equal to 90 degrees; and    -   a first hypotenuse opposite the angle;

a light source disposed adjacent the first face;

an image forming device disposed adjacent the second face;

a second prism having a second volume, the second prism a righttriangular prism having third and fourth faces and having a secondhypotenuse, the second hypotenuse disposed adjacent the firsthypotenuse, the first the first and second hypotenuses havingsubstantially equal surface areas, the third face opposite the firstface and substantially parallel with the first face, the fourth faceopposite the second face and substantially parallel with the secondface;

wherein the reflective polarizer is disposed between the first andsecond hypotenuses, and wherein the first volume is no greater than halfthe second volume.

Embodiment 2 is the polarizing beam splitting system of Embodiment 1,wherein the first face has a largest area that is less than half of alargest area of the third face and that is less than half a largest areaof the fourth face.

Embodiment 3 is the polarizing beam splitting system of Embodiment 1,wherein the second face has a largest area that is less than half of alargest area of the third face and that is less than half of a largestarea of the fourth face.

Embodiment 4 is the polarizing beam splitting system of Embodiment 1,wherein the each of a largest area of the first face and a largest areaof the second face is less than half of a lesser of a largest area ofthe third face and a largest area of the fourth face.

Embodiment 5 is the polarizing beam splitting system of Embodiment 1,further comprising a portion extending from the first and second sides,wherein the first hypotenuse comprises a major surface of the portion.

Embodiment 6 is the polarizing beam splitting system of Embodiment 1,wherein the reflective polarizer is a polymeric multilayer reflectivepolarizer, a wire grid polarizer, a MacNeille reflective polarizer, or acholesteric reflective polarizer.

Embodiment 7 is the polarizing beam splitting system of Embodiment 1,wherein the reflective polarizer is a polymeric multilayer reflectivepolarizer.

Embodiment 8 is the polarizing beam splitting system of Embodiment 1being centered on an optical axis defined by an optical path of acentral light ray emitted by the light source, the optical axis having alength d1 between the first face and the reflective polarizer, theoptical axis having a length d3′ between the fourth face and thereflective polarizer, d1 being less than d3′.

Embodiment 9 is the polarizing beam splitting system of Embodiment 8,wherein d1 is less than 0.9 times d3′.

Embodiment 10 is the polarizing beam splitting system of Embodiment 8,wherein the reflective polarizer has a largest lateral dimension of d5and d1 is less than d5/4.

Embodiment 11 is the polarizing beam splitting system of Embodiment 10,wherein d1 is less than 0.2 times d5.

Embodiment 12 is a polarizing beam splitting system adapted to receivelight from a light source and centered on a folded optical axis definedby an optical path of a central light ray emitted by the light source,the polarizing beam splitting system comprising:

an input surface substantially perpendicular to the optical axis, lightentering the polarizing beam splitting system by passing through theinput surface;

a reflective polarizer having a largest lateral dimension d5, theoptical axis having a length d1 between the input surface and thereflective polarizer;

an output surface substantially perpendicular to the optical axis, theoutput surface having a length d3′ between the output surface and thereflective polarizer, light exiting the polarizing beam splitting systemby passing through the output surface; and

an imager face substantially perpendicular to the optical axis, theoptical axis having a length d4 between the imager face and thereflective polarizer,

wherein one or both of d1 and d4 are less than d5/4.

Embodiment 13 is the polarizing beam splitting system of Embodiment 12,wherein d1 is less than d5/4.

Embodiment 14 is the polarizing beam splitting system of Embodiment 12,wherein d4 is less than d5/4.

Embodiment 15 is the polarizing beam splitting system of Embodiment 12,wherein each of d1 and d4 is less than d5/4.

Embodiment 16 is the polarizing beam splitting system of Embodiment 12,wherein one or both of d1 and d4 are less than 0.2 times d5.

Embodiment 17 is the polarizing beam splitting system of Embodiment 12,wherein one or both of d1 and d4 are less than d3′.

Embodiment 18 is the polarizing beam splitting system of Embodiment 12,wherein d1 is less than d3′.

Embodiment 19 is the polarizing beam splitting system of Embodiment 12,wherein d4 is less than d3′.

Embodiment 20 is the polarizing beam splitting system of Embodiment 12,wherein each of d1 and d4 is less than d3′.

Embodiment 21 is the polarizing beam splitting system of Embodiment 20,wherein each of d1 and d4 is less than 0.9 times d3′.

Embodiment 22 is a polarizing beam splitting system adapted to receivelight from a light source and centered on a folded optical axis definedby an optical path of a central light ray emitted by the light source,the polarizing beam splitting system comprising:

-   -   an input surface substantially perpendicular to the optical        axis, light entering the polarizing beam splitting system by        passing through the input surface;    -   a reflective polarizer, the optical axis having a length d1        between the input surface and the reflective polarizer;    -   a first reflective component substantially perpendicular to the        optical axis, the optical axis having a length d2 between the        first reflective component and the reflective polarizer, the        first reflective component being a tilted dichroic plate;    -   a second reflective component substantially perpendicular to the        optical axis, the optical axis having a length d3 between the        second reflective component and the reflective polarizer; and    -   an output face substantially perpendicular to the optical axis,        light exiting the polarizing beam splitting system by passing        through the output surface, the optical axis having a length d4        between the output surface and the reflective polarizer, one or        both of d1 and d4 being less than a lesser of d2 and d3.

Embodiment 23 is the polarizing beam splitting system of Embodiment 22,wherein d4 is less than the lesser of d2 and d3.

Embodiment 24 is the polarizing beam splitting system of Embodiment 22,wherein d1 is less than the lesser of d2 and d3.

Embodiment 25 is the polarizing beam splitting system of Embodiment 22,wherein both d1 and d4 are less than the lesser of d2 and d3.

Embodiment 26 is the polarizing beam splitting system of Embodiment 22,wherein one or both of d1 and d4 less than 0.9 times the lesser of d2and d3.

Embodiment 27 is the polarizing beam splitting system of Embodiment 22,wherein the reflective polarizer has a largest lateral dimension of d5,one or both of d1 and d4 being less than d5/4.

Embodiment 28 is the polarizing beam splitting system of Embodiment 27,wherein each of d1 and d4 is less than d5/4.

Embodiment 29 is the polarizing beam splitting system of Embodiment 27,wherein one or both of d1 and d4 is less than 0.2 times d5.

Embodiment 30 is the polarizing beam splitting system of Embodiment 22,wherein the second reflective component is adapted to modulate lightincident thereon.

Embodiment 31 is the polarizing beam splitting system of Embodiment 22,wherein the second reflective component is pixelated.

Embodiment 32 is the polarizing beam splitting system of Embodiment 22,wherein an angle between the reflective polarizer and the optical axisis between 40 to 60 degrees.

Embodiment 33 is the polarizing beam splitting system of Embodiment 22,wherein the first reflective component has a specular reflectancegreater than 80%.

Embodiment 34 is the polarizing beam splitting system of Embodiment 22,wherein the second reflective component has a specular reflectancegreater than 80%.

Embodiment 35 is a polarizing beam splitting system adapted to receivelight from a light source and centered on a folded optical axis definedby an optical path of a central light ray emitted by the light source,the polarizing beam splitting system comprising:

-   -   an input surface substantially perpendicular to the optical        axis, light entering the polarizing beam splitting system by        passing through the input surface;    -   a reflective polarizer having a largest lateral dimension d5,        the optical axis having a length d1 between the input surface        and the reflective polarizer;    -   a first reflective component substantially perpendicular to the        optical axis, the optical axis having a length d2 between the        first reflective component and the reflective polarizer, the        first reflective component being a tilted dichroic plate;    -   a second reflective component substantially perpendicular to the        optical axis, the optical axis having a length d3 between the        second reflective component and the reflective polarizer; and    -   an output face substantially perpendicular to the optical axis,        light exiting the polarizing beam splitting system by passing        through the output surface, the optical axis having a length d4        between the output surface and the reflective polarizer,    -   wherein one or both of d1 and d4 are less than d5/4.

Embodiment 36 is the polarizing beam splitting system of Embodiment 35,wherein d1 is less than d5/4.

Embodiment 37 is the polarizing beam splitting system of Embodiment 35,wherein d4 is less than d5/4.

Embodiment 38 is the polarizing beam splitting system of Embodiment 35,wherein each of d1 and d4 is less than d5/4.

Embodiment 39 is the polarizing beam splitting system of Embodiment 35,wherein one or both of d1 and d4 are less than 0.2 times d5.

Embodiment 40 is the polarizing beam splitting system of Embodiment 35,wherein one or both of d1 and d4 are less than a lesser of d2 and d3.

Embodiment 41 is the polarizing beam splitting system of Embodiment 40,wherein d1 is less than the lesser of d2 and d3.

Embodiment 42 is the polarizing beam splitting system of Embodiment 40,wherein d4 is less than the lesser of d2 and d3.

Embodiment 43 is the polarizing beam splitting system of Embodiment 40,wherein each of d1 and d4 is less than the lesser of d2 and d3.

Embodiment 44 is the polarizing beam splitting system of Embodiment 43,wherein each of d1 and d4 is less than 0.9 times the lesser of d2 andd3.

Embodiment 45 is the polarizing beam splitting system of Embodiment 35,wherein the first reflective component has a specular reflectancegreater than 80%.

Embodiment 46 is the polarizing beam splitting system of Embodiment 35,wherein the second reflective component has a specular reflectancegreater than 80%.

Embodiment 47 is a head mounted system comprising the polarizing beamsplitting system of any of Embodiments 1 to 46, the head mounted systemconfigured to provide images to a viewer.

Embodiment 48 is the head mounted system of Embodiment 47 furthercomprising an eye tracking system.

Embodiment 49 is the head mounted system of Embodiment 48, wherein theeye tracking system is adapted to determine pupil size.

Embodiment 50 is the head mounted system of Embodiment 49, wherein theeye tracking system is adapted to record a time-series of pupildiameters.

Embodiment 51 is the head mounted system of Embodiment 50, wherein theeye tracking system is adapted to record a time-series of pupillocations.

Descriptions for elements in figures should be understood to applyequally to corresponding elements in other figures, unless indicatedotherwise. Although specific embodiments have been illustrated anddescribed herein, it will be appreciated by those of ordinary skill inthe art that a variety of alternate and/or equivalent implementationscan be substituted for the specific embodiments shown and describedwithout departing from the scope of the present disclosure. Thisapplication is intended to cover any adaptations or variations of thespecific embodiments discussed herein. Therefore, it is intended thatthis disclosure be limited only by the claims and the equivalentsthereof

What is claimed is:
 1. A polarizing beam splitting system comprising: afirst prism comprising a hypotenuse and a first peak opposite thehypotenuse; a second prism disposed adjacent the hypotenuse of the firstprism and comprising: opposing facets meeting at a second peak oppositethe first peak; and extensions extending from the facets along thehypotenuse of the first prism; and a reflective polarizer disposedbetween the first and second prisms.
 2. The polarizing beam splittingsystem of claim 1, wherein each extension comprises opposingsubstantially parallel major surfaces.
 3. The polarizing beam splittingsystem of claim 1, wherein the second prism comprises a substantiallyplanar major surface opposite the second peak, the substantially planarmajor surface comprising a major surface of each extension.
 4. Thepolarizing beam splitting system of claim 3, wherein the substantiallyplanar major surface of the second prism has a substantially same totalarea as the hypotenuse of the first prism.
 5. The polarizing beamsplitting system of claim 4, wherein the substantially planar majorsurface and the first prism are substantially coextensive with thereflective polarizer.
 6. The polarizing beam splitting system of claim5, wherein the second prism has a volume no greater than about half avolume of the first prism.
 7. The polarizing beam splitting system ofclaim 1, wherein the first prism is a right triangular prism, and theopposing facets define an angle of about 90 degrees therebetween.
 8. Thepolarizing beam splitting system of claim 7, wherein the second prismhas a volume no greater than about half a volume of the first prism. 9.The polarizing beam splitting system of claim 1, wherein the secondprism has a volume no greater than about 40 percent of a volume of thefirst prism.
 10. The polarizing beam splitting system of claim 1,wherein each of the opposing facets has a substantially same area. 11.The polarizing beam splitting system of claim 1 being adapted to receivelight from a light source and being centered on a folded optical axisdefined by an optical path of a central light ray emitted by the lightsource, each of the opposing facets being substantially perpendicular tothe folded optical axis.
 12. The polarizing beam splitting system ofclaim 11, wherein the first prism comprises opposing faces meeting atthe first peak, each of the opposing faces being substantiallyperpendicular to the folded optical axis.
 13. A head mounted systemcomprising the polarizing beam splitting system of claim 1, the headmounted system configured to provide images to a viewer.
 14. The headmounted system of claim 13 further comprising an eye tracking systemadapted to determine pupil size, wherein the eye tracking system isadapted to record a time-series of pupil diameters and a time-series ofpupil locations.